
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 5 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 6 |
| 34.5% | 29.7% | 56.2% | 0.1% | 0% | 14% | 0% | 7 |
| 50.5% | 42.1% | 41.4% | 0.1% | 0% | 16.4% | 0% | 8 |
| 61.4% | 49.6% | 31.2% | 0.1% | 0% | 19.1% | 0% | 9 |
| 72.2% | 57.4% | 22% | 0.1% | 0% | 20.5% | 0% | 10 |
| 79% | 61.6% | 16.4% | 0.1% | 0% | 22% | 0% | 11 |
| 85.3% | 65.9% | 11.4% | 0.1% | 0% | 22.7% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 1.4s | 3 867× | 1 | valid |
| 510.0ms | 4 389× | 0 | valid |
| 18.0ms | 257× | 0 | invalid |
ival-log: 656.0ms (40.5% of total)ival-div: 321.0ms (19.8% of total)ival-exp: 230.0ms (14.2% of total)ival-mult: 157.0ms (9.7% of total)ival-add: 148.0ms (9.1% of total)adjust: 100.0ms (6.2% of total)ival-true: 6.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 144 | 37 | (-1.760877804521261e+68 5.134291698225245e-272) | 2 | (-1.2576250816505916e-261 -9.183168153890468e+51) | (log.f64 (/.f64 x (+.f64 x y))) |
| 40 | 0 | - | 3 | (-6.289295055946398e+284 -4.235377937761971e-34) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 0 | 1 | (5.321393592143521e+306 289.32643520057104) | 0 | - | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | sensitivity | 154 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 37 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 25 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 37 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 25 | |
exp.f64 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 0 |
| - | 117 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 0 |
| - | 117 | 0 | 77 |
| number | freq |
|---|---|
| 0 | 77 |
| 1 | 141 |
| 2 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 228× | 1 | valid |
| 36.0ms | 78× | 2 | valid |
| 35.0ms | 206× | 0 | valid |
Compiled 103 to 28 computations (72.8% saved)
ival-log: 56.0ms (54% of total)ival-div: 14.0ms (13.5% of total)adjust: 9.0ms (8.7% of total)ival-exp: 9.0ms (8.7% of total)ival-mult: 9.0ms (8.7% of total)ival-add: 6.0ms (5.8% of total)ival-true: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 67 |
| 1 | 58 | 55 |
| 2 | 139 | 53 |
| 3 | 392 | 53 |
| 4 | 1232 | 53 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 81 | 9 |
| 4 | 262 | 9 |
| 5 | 2097 | 9 |
| 6 | 6664 | 9 |
| 0 | 8165 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.3% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 11 to 8 computations (27.3% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x y))) | |
| cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| cost-diff | 2 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 21 | 40 |
| 2 | 38 | 40 |
| 3 | 81 | 40 |
| 4 | 262 | 40 |
| 5 | 2097 | 40 |
| 6 | 6664 | 40 |
| 0 | 8165 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 x y)) | |
| accuracy | 9.093012679080685 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 32.63051917799378 | (log.f64 (/.f64 x (+.f64 x y))) |
| 27.0ms | 114× | 1 | valid |
| 18.0ms | 39× | 2 | valid |
| 8.0ms | 103× | 0 | valid |
Compiled 46 to 10 computations (78.3% saved)
ival-log: 21.0ms (49.8% of total)ival-div: 6.0ms (14.2% of total)adjust: 4.0ms (9.5% of total)ival-mult: 4.0ms (9.5% of total)ival-add: 3.0ms (7.1% of total)ival-exp: 3.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | x | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 4.0ms | y | @ | inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 3.0ms | y | @ | 0 | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
| 2.0ms | y | @ | -inf | ((exp (* x (log (/ x (+ x y))))) (/ (exp (* x (log (/ x (+ x y))))) x) (* x (log (/ x (+ x y)))) (log (/ x (+ x y))) (/ x (+ x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3081 |
| 1 | 1948 | 2633 |
| 0 | 8637 | 2507 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
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(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 x y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal -1/2 binary64) x) y) (log.f64 (neg.f64 x)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) (/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) y)) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y)) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 44 | 35 |
| 2 | 236 | 35 |
| 3 | 2121 | 35 |
| 0 | 9432 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 y x) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (exp.f64 x) (log.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x))) (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)) (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x))) |
(*.f64 (pow.f64 (-.f64 y x) x) (pow.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) x)) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 y x)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (-.f64 y x)))) |
(pow.f64 (/.f64 x (-.f64 y x)) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (-.f64 y x)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (-.f64 y x) x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (-.f64 y x))) x (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (-.f64 y x))) x (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (-.f64 y x))) x (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 3 binary64)))) (*.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (-.f64 y x))) x (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (-.f64 y x))) x (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))))) #s(literal -4 binary64)) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x (-.f64 y x))) x (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x))))))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) x)) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 y x) x)))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 y x) x))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 y x)) (log.f64 (*.f64 (-.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (-.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (-.f64 y x)) (log.f64 (*.f64 (-.f64 y x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) x)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)))) |
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(/.f64 x (-.f64 y x)) |
(neg.f64 (/.f64 x (-.f64 y x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(fma.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(exp.f64 (log.f64 (/.f64 x (-.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 y x) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x (-.f64 y x)))) (sinh.f64 (log.f64 (/.f64 x (-.f64 y x))))) |
Compiled 10 555 to 1 680 computations (84.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 9 | 337 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 329 | 9 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.9% | (/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
| ▶ | 78.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 51.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 54.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 54.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 75.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 60.9% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) | |
| 48.6% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 46.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
Compiled 406 to 274 computations (32.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 x (-.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (-.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) | |
| cost-diff | 1 | (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) | |
| cost-diff | 2 | (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 389 |
| 0 | 67 | 389 |
| 1 | 99 | 363 |
| 2 | 175 | 363 |
| 3 | 353 | 363 |
| 4 | 915 | 363 |
| 5 | 5367 | 363 |
| 0 | 8749 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal -1/2 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
(pow.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(literal -1/2 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y #s(literal -1/2 binary64))) y #s(literal -1 binary64)) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y #s(literal -1/2 binary64))) y) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) y #s(literal -1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) |
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(neg.f64 y) |
y |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
(pow.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.00390625 | (/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 y x)) | |
| accuracy | 14.78244407685145 | (pow.f64 (/.f64 x (-.f64 y x)) x) | |
| accuracy | 0.7515530167083243 | (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.9868917347315023 | (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) | |
| accuracy | 1.2605824626644886 | (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) | |
| accuracy | 29.542226980269955 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.03125 | (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) | |
| accuracy | 29.36782887873 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 16.07588393986981 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.00390625 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 24.116737087579715 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 112.0ms | 86× | 1 | valid |
| 56.0ms | 32× | 2 | valid |
| 36.0ms | 101× | 0 | valid |
| 10.0ms | 37× | 0 | invalid |
Compiled 304 to 37 computations (87.8% saved)
ival-div: 48.0ms (27.8% of total)ival-pow: 33.0ms (19.1% of total)adjust: 19.0ms (11% of total)ival-mult: 19.0ms (11% of total)ival-log: 19.0ms (11% of total)const: 12.0ms (6.9% of total)ival-sub: 10.0ms (5.8% of total)ival-add: 8.0ms (4.6% of total)ival-exp: 3.0ms (1.7% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
(pow.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 x (-.f64 y x)) |
(-.f64 y x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* x (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))) (/ 1 y)))))))) x) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* x (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))) (/ 1 y)))))))) |
(/ x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
y |
(+ y (* -1 x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
1/6 |
(+ 1/6 (* 1/2 (/ 1 x))) |
(+ 1/6 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(/ (pow (/ x (- y x)) x) x) |
(pow (/ x (- y x)) x) |
-1 |
(- (* -1 (/ y x)) 1) |
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) |
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* y (+ 1/2 (* -1/6 y))) |
(+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(/ (pow (/ x (+ y (* -1 x))) x) x) |
(pow (/ x (+ y (* -1 x))) x) |
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
(/ (pow -1 x) x) |
(+ (/ (* y (pow -1 x)) x) (/ (pow -1 x) x)) |
(+ (* y (+ (/ (* y (* (+ 1/2 (* 1/2 (/ 1 x))) (pow -1 x))) x) (/ (pow -1 x) x))) (/ (pow -1 x) x)) |
(+ (* y (+ (* y (+ (/ (* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (pow -1 x))) x) (/ (* (+ 1/2 (* 1/2 (/ 1 x))) (pow -1 x)) x))) (/ (pow -1 x) x))) (/ (pow -1 x) x)) |
(pow -1 x) |
(+ (* y (pow -1 x)) (pow -1 x)) |
(+ (* y (+ (* y (* (+ 1/2 (* 1/2 (/ 1 x))) (pow -1 x))) (pow -1 x))) (pow -1 x)) |
(+ (* y (+ (* y (+ (* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (pow -1 x))) (* (+ 1/2 (* 1/2 (/ 1 x))) (pow -1 x)))) (pow -1 x))) (pow -1 x)) |
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1) |
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1) |
(- y x) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) |
(+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)) (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (pow y 3)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)) (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))) |
(/ (+ x (/ (pow x 2) y)) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(+ (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) |
(+ (* -1 (/ (+ (* -1 (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y)))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y))) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (* (- (/ 1/2 x) -1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (- y x)) x) x) (pow (/ x (- y x)) x) (/ x (- y x)) (- y x) (* (- (/ 1/2 x) -1/2) y) (exp (* x (log (/ x (+ x y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 7.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (* (- (/ 1/2 x) -1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (- y x)) x) x) (pow (/ x (- y x)) x) (/ x (- y x)) (- y x) (* (- (/ 1/2 x) -1/2) y) (exp (* x (log (/ x (+ x y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 5.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (* (- (/ 1/2 x) -1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (- y x)) x) x) (pow (/ x (- y x)) x) (/ x (- y x)) (- y x) (* (- (/ 1/2 x) -1/2) y) (exp (* x (log (/ x (+ x y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 5.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (* (- (/ 1/2 x) -1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (- y x)) x) x) (pow (/ x (- y x)) x) (/ x (- y x)) (- y x) (* (- (/ 1/2 x) -1/2) y) (exp (* x (log (/ x (+ x y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 4.0ms | y | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (* (- (/ 1/2 x) -1/2) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (- y x)) x) x) (pow (/ x (- y x)) x) (/ x (- y x)) (- y x) (* (- (/ 1/2 x) -1/2) y) (exp (* x (log (/ x (+ x y))))) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 781 | 5045 |
| 1 | 2807 | 4529 |
| 0 | 8437 | 4299 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
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(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(+ (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) |
(+ (* -1 (/ (+ (* -1 (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y)))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y))) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (-.f64 (neg.f64 (log.f64 y)) (/.f64 x y)) (log.f64 x)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(*.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(*.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* x (+ 1/2 (* 1/6 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* x (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))) (/ 1 y)))))))) x) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x (/.f64 #s(literal 1 binary64) y))) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (+ (* x (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))) (/ 1 y)))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x (/.f64 #s(literal 1 binary64) y))) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 x x))) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))))) (exp.f64 (neg.f64 y))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 y))) (*.f64 x x))) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))))) (exp.f64 (neg.f64 y))) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
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(*.f64 (-.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y)) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (*.f64 (neg.f64 x) x) y)) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x (/.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) y) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 y))) (neg.f64 y))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 y y)) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(+ (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) |
(fma.f64 x (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y)))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (fma.f64 x x (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y)) (neg.f64 y)) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 335 |
| 0 | 67 | 335 |
| 1 | 249 | 309 |
| 2 | 1875 | 309 |
| 0 | 9031 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
(pow.f64 (/.f64 x (-.f64 y x)) x) |
(/.f64 x (-.f64 y x)) |
(-.f64 y x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x (*.f64 x (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) (neg.f64 x)) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) x)) |
(neg.f64 (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (neg.f64 x))) |
(+.f64 (/.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))))) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
(+.f64 (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
(+.f64 (cosh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (sinh.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)))) |
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(fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) y)) |
Compiled 26 762 to 3 207 computations (88% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 10 | 541 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 536 | 14 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) x) x) | |
| ✓ | 78.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 59.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| ▶ | 54.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| 59.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 39.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 46.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| 53.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) | |
| 51.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| ▶ | 54.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 53.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
| 6.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) | |
| ✓ | 75.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 60.9% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
Compiled 937 to 644 computations (31.3% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 601 |
| 0 | 94 | 601 |
| 1 | 156 | 567 |
| 2 | 320 | 567 |
| 3 | 784 | 557 |
| 4 | 2678 | 557 |
| 0 | 8537 | 528 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) |
(pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) |
(/.f64 x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
(neg.f64 x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) |
#s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) |
#s(literal 1/2 binary64) |
(fma.f64 y x y) |
y |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) |
(pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) |
(/.f64 x (-.f64 y x)) |
x |
(-.f64 y x) |
y |
(neg.f64 x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) #s(literal 1 binary64)) |
#s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) |
#s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) |
(*.f64 (fma.f64 y x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 y x y) |
y |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x)) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(fma.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) | |
| accuracy | 2.1921779368446783 | (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) | |
| accuracy | 5.05467717915103 | (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) | |
| accuracy | 23.307161239667114 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| accuracy | 0.03125 | (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 3.7659736790048886 | (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) | |
| accuracy | 23.307161239667114 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.7437405167083243 | (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.9712667347315023 | (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) | |
| accuracy | 18.159500229609527 | #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) | |
| accuracy | 24.15595324154064 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 21.98583137831057 | #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) | |
| accuracy | 10.184997995517191 | (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) |
| 210.0ms | 95× | 1 | valid |
| 82.0ms | 93× | 0 | valid |
| 21.0ms | 18× | 1 | exit |
| 14.0ms | 37× | 0 | invalid |
| 5.0ms | 13× | 0 | exit |
Compiled 367 to 56 computations (84.7% saved)
ival-mult: 91.0ms (33.9% of total)adjust: 59.0ms (22% of total)ival-pow: 37.0ms (13.8% of total)ival-div: 19.0ms (7.1% of total)ival-add: 15.0ms (5.6% of total)const: 14.0ms (5.2% of total)ival-log: 14.0ms (5.2% of total)ival-sub: 13.0ms (4.8% of total)ival-exp: 3.0ms (1.1% of total)ival-neg: 2.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) |
(pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) |
(/.f64 x (-.f64 y x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(neg.f64 x) |
(-.f64 y x) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) |
(/ (+ 1 (* x (- (* x (- (+ (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log x) (log (/ 1 y))) (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))))) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))))) (/ 1 y)) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) |
x |
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))) |
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (- (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (/ (log x) y) (/ (log (/ 1 y)) y))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))))))) |
1 |
(+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))) |
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))) |
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (- (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (/ (log x) y) (/ (log (/ 1 y)) y))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)))))) |
(/ x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1 (/ (* (pow x 2) (+ (* -1 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y)) (+ (* -1/2 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) (* 1/6 (/ (pow x 5) (* y (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))))) (+ (* -1 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) (* 1/2 (/ (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))))) y)) (/ x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (/ 1 (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))))) |
(* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) |
(+ (* -1 (/ (* (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (* x (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/6 (pow x 6)))))) y)) (* x (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))))) y)) (* (pow x 3) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y)) (* x (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) |
(exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) |
(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y))) |
(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/6 (pow x 6))))) y)) (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (- (/ 1 y) 1/2))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | -inf | ((/ 1 (* (pow (/ x (- y x)) (neg x)) x)) (* (pow (/ x (- y x)) (neg x)) x) (pow (/ x (- y x)) (neg x)) (/ x (- y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- (* 1/2 y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (neg x) (- y x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (* y y) 1/2)) |
| 9.0ms | x | @ | 0 | ((/ 1 (* (pow (/ x (- y x)) (neg x)) x)) (* (pow (/ x (- y x)) (neg x)) x) (pow (/ x (- y x)) (neg x)) (/ x (- y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- (* 1/2 y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (neg x) (- y x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (* y y) 1/2)) |
| 7.0ms | y | @ | inf | ((/ 1 (* (pow (/ x (- y x)) (neg x)) x)) (* (pow (/ x (- y x)) (neg x)) x) (pow (/ x (- y x)) (neg x)) (/ x (- y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- (* 1/2 y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (neg x) (- y x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (* y y) 1/2)) |
| 5.0ms | x | @ | -inf | ((/ 1 (* (pow (/ x (- y x)) (neg x)) x)) (* (pow (/ x (- y x)) (neg x)) x) (pow (/ x (- y x)) (neg x)) (/ x (- y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- (* 1/2 y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (neg x) (- y x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (* y y) 1/2)) |
| 4.0ms | y | @ | 0 | ((/ 1 (* (pow (/ x (- y x)) (neg x)) x)) (* (pow (/ x (- y x)) (neg x)) x) (pow (/ x (- y x)) (neg x)) (/ x (- y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1) (/ (* 1/2 (+ (* y x) y)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- (* 1/2 y) 1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (neg x) (- y x) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (* (* y y) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 6034 |
| 1 | 3332 | 5863 |
| 0 | 9255 | 5563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) |
(/ (+ 1 (* x (- (* x (- (+ (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log x) (log (/ 1 y))) (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))))) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))))) (/ 1 y)) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) |
x |
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))) |
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (- (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (/ (log x) y) (/ (log (/ 1 y)) y))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))))))) |
1 |
(+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))) |
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))) |
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (- (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (/ (log x) y) (/ (log (/ 1 y)) y))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)))))) |
(/ x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* -1 x) |
y |
(+ y (* -1 x)) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ 1 (* x (exp (* -1 (* x (log (/ x (- y x)))))))) |
(* x (exp (* -1 (* x (log (/ x (- y x))))))) |
(exp (* -1 (* x (log (/ x (- y x)))))) |
-1 |
(- (* -1 (/ y x)) 1) |
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) |
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
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(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y))) |
(+ (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))))) (* 1/6 (pow x 6))))) y)) (* (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))) (+ (* -1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (* -1 x)) (log (/ -1 y)))))))) y))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (- (/ 1 y) 1/2))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) x (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- (* x (- (+ (* x (- (* 1/2 (/ 1 (pow y 2))) (+ (* -1 (* (+ (log x) (log (/ 1 y))) (- (/ 1 y) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))))) (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (* (+ (log x) (log (/ 1 y))) (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))) (+ (/ (log x) y) (/ (log (/ 1 y)) y))))))) (/ 1 y)) (+ (* -1 (pow (+ (log x) (log (/ 1 y))) 2)) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2))))) (* -1 (+ (log x) (log (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y))))) x (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) x (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -1 (* x (+ (log x) (log (/ 1 y))))))) |
(*.f64 (fma.f64 (neg.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (- (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (/ (log x) y) (/ (log (/ 1 y)) y))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x) (/.f64 #s(literal 1 binary64) y))) x (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ (log x) (log (/ 1 y)))))) |
(fma.f64 (neg.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1 (+ (log x) (log (/ 1 y)))) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (- (+ (* -1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (+ (/ (log x) y) (/ (log (/ 1 y)) y))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)))))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x) (/.f64 #s(literal 1 binary64) y))) x (neg.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)))) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 y) (/ x (pow y 2)))) |
(*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))) |
(*.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) x) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) y) #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (neg.f64 (log.f64 y))) (log.f64 x)) x #s(literal 1 binary64)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(* -1 x) |
(neg.f64 x) |
y |
(+ y (* -1 x)) |
(fma.f64 #s(literal -1 binary64) x y) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (+ 1/2 (* -1/6 y)))) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ 1 (* x (exp (* -1 (* x (log (/ x (- y x)))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 (neg.f64 x)) (log.f64 (/.f64 x (-.f64 y x))))) |
(* x (exp (* -1 (* x (log (/ x (- y x))))))) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (log.f64 (/.f64 x (-.f64 y x)))) x) |
(exp (* -1 (* x (log (/ x (- y x)))))) |
(pow.f64 (exp.f64 (neg.f64 x)) (log.f64 (/.f64 x (-.f64 y x)))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ y x)) 1) |
(-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) |
(-.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) |
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) |
(-.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 y x))) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
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(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)))) (*.f64 y y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/6 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/2 (/ (* y (- (* -1 x) 1)) x)) |
(*.f64 (*.f64 y (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) x) (neg.f64 y))) #s(literal -1/2 binary64)) (*.f64 y y)) |
(* -1 (* y (- (/ 1 y) 1/2))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 489 |
| 0 | 94 | 489 |
| 1 | 397 | 452 |
| 0 | 3181 | 439 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) |
(pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) |
(/.f64 x (-.f64 y x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(neg.f64 x) |
(-.f64 y x) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (-.f64 y x)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x (-.f64 y x)) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x) |
(*.f64 x (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (-.f64 y x)) x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 x (-.f64 y x)) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (-.f64 y x)))) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 x (-.f64 y x)) (/.f64 x (-.f64 y x))) (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (-.f64 y x)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (-.f64 y x)) (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (-.f64 y x)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 y x)) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) (neg.f64 x))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) (neg.f64 x))) (sinh.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) (neg.f64 x)))) |
(*.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (+.f64 y x)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 x) (neg.f64 (-.f64 y x))) |
(/.f64 x (-.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) (-.f64 y x))) |
(neg.f64 (/.f64 x (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal 1 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(fma.f64 y (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #s(literal 2 binary64))) x)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (neg.f64 x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) x)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 x))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (/.f64 x x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x)) |
(fma.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x)) |
(fma.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x)) |
(+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) |
Compiled 19 378 to 2 359 computations (87.8% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 9 | 416 |
| Fresh | 4 | 3 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 415 | 15 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) x) x) | |
| ✓ | 78.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ▶ | 59.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| 59.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 46.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| 53.6% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) | |
| ▶ | 51.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
| ✓ | 54.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 4.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 29.4% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x) | |
| ▶ | 58.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
| ▶ | 12.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
| 6.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| ✓ | 75.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 44.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) (neg.f64 x)) x)) |
Compiled 1 024 to 687 computations (32.9% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| cost-diff | 1 | (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) | |
| cost-diff | 2 | (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 902 |
| 0 | 105 | 902 |
| 1 | 176 | 839 |
| 2 | 400 | 833 |
| 3 | 1103 | 813 |
| 4 | 3820 | 813 |
| 0 | 8116 | 758 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 y y) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64)) |
#s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) |
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y)) |
(neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (fma.f64 (neg.f64 y) x x)) |
(-.f64 x (*.f64 y x)) |
(fma.f64 (neg.f64 y) x x) |
x |
(*.f64 y x) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 y x y) (*.f64 #s(literal 1/2 binary64) y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 y x y) (*.f64 #s(literal 1/2 binary64) y))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 y x y) (*.f64 #s(literal 1/2 binary64) y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 y x y) (*.f64 #s(literal 1/2 binary64) y))) x) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 y x y) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 (fma.f64 y x y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 y y) |
y |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64)) |
#s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) |
#s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 y y))) |
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (*.f64 y y)) |
(neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) |
(+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7515530167083243 | (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64)) | |
| accuracy | 5.343966730871793 | (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y)) | |
| accuracy | 28.068349208937242 | #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) | |
| accuracy | 29.542226980269955 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) | |
| accuracy | 3.5754402870864372 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)) | |
| accuracy | 5.451745553147609 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) | |
| accuracy | 29.36782887873 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) | |
| accuracy | 30.38211065340073 | #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 y x)) | |
| accuracy | 5.451745553147609 | (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) | |
| accuracy | 29.339913743991776 | #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) | |
| accuracy | 29.36782887873 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) | |
| accuracy | 29.469620769241004 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 33.031743767330674 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.7515530167083243 | (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.9868917347315023 | (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) | |
| accuracy | 26.532664652718307 | #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) | |
| accuracy | 29.542226980269955 | #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
| 177.0ms | 115× | 1 | valid |
| 100.0ms | 141× | 0 | valid |
Compiled 440 to 61 computations (86.1% saved)
ival-add: 55.0ms (22.6% of total)ival-div: 52.0ms (21.4% of total)ival-mult: 48.0ms (19.8% of total)adjust: 41.0ms (16.9% of total)ival-log: 16.0ms (6.6% of total)const: 14.0ms (5.8% of total)ival-sub: 12.0ms (4.9% of total)ival-exp: 3.0ms (1.2% of total)ival-neg: 3.0ms (1.2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) |
(-.f64 x (*.f64 y x)) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)) |
#s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) |
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y)) |
(fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ -1/3 (pow x 2)) |
(/ (- (* -1/2 x) 1/3) (pow x 2)) |
(/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2)) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* x (- 1 y)) |
(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 2))) |
(/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/3 (/ 1 x))) x) |
-1/6 |
(* -1 (+ 1/6 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* 1/2 (/ (pow y 2) x)) (* 1/2 (pow y 2)))) |
(* -1/6 (pow y 2)) |
(+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/2 (pow y 2))))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(* -1 y) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (/ 1/3 (* x x)) (/ 1/2 x)) (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* y x)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (* (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (* y y)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 4.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (/ 1/3 (* x x)) (/ 1/2 x)) (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* y x)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (* (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (* y y)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 4.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (/ 1/3 (* x x)) (/ 1/2 x)) (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* y x)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (* (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (* y y)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 4.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (/ 1/3 (* x x)) (/ 1/2 x)) (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* y x)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (* (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (* y y)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
| 3.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) y) 1) (+ (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) -1) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- 1 y) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/ (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) x) (+ (/ 1/3 (* x x)) (/ 1/2 x)) (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (- x (* y x)) (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (* (+ (* 1/2 x) 1/2) (* y y)) (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (* (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (* y y)) (+ (* (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) y) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 559 | 3258 |
| 1 | 2040 | 2961 |
| 0 | 8703 | 2788 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/ -1/3 (pow x 2)) |
(/ (- (* -1/2 x) 1/3) (pow x 2)) |
(/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2)) |
(* -1/3 (/ y (pow x 2))) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* x (- 1 y)) |
(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 2))) |
(/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2)) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/3 (/ 1 x))) x) |
-1/6 |
(* -1 (+ 1/6 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6) |
(+ 1/2 (* -1/6 y)) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/6 y) (* 1/2 (/ 1 x))))) |
(+ 1/2 (+ (* -1/2 (/ y x)) (+ (* -1/3 (/ y (pow x 2))) (+ (* -1/6 y) (* 1/2 (/ 1 x)))))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* 1/2 (* x (pow y 2))) |
(* x (+ (* 1/2 (/ (pow y 2) x)) (* 1/2 (pow y 2)))) |
(* -1/6 (pow y 2)) |
(+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2)))) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- (* 1/2 y) 1/2)) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* (pow y 2) (- (* 1/2 y) 1/2))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(- (+ (* -1 (/ (* y (- (* 1/2 y) 1/2)) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1/2))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 y) 1/2) x)) (* -1/6 y))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ y x)) (* 1/2 y)) 1/2) x)) (* -1/6 y))) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* x (+ 1 (* -1 y))) |
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/2 (pow y 2))))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2))) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(* -1 y) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* y (- (/ 1 y) 1)) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) (neg.f64 y)))) x (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 y)) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) x (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) x #s(literal 1 binary64)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) y (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/2 x)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ -1/3 (pow x 2)) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(/ (- (* -1/2 x) 1/3) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64)) (*.f64 x x)) |
(/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal -1/3 binary64)) (*.f64 x x)) |
(* -1/3 (/ y (pow x 2))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (* -1/2 y)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(/ (+ (* -1/3 y) (* x (+ 1/2 (+ (* -1/2 y) (* x (+ 1/2 (* -1/6 y))))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) x (*.f64 #s(literal -1/3 binary64) y)) (*.f64 x x)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* 1/2 (* x (pow y 2))) (* 1/2 (pow y 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y) y) |
(/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2)) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) x (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -24 binary64))) #s(literal 1/24 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) x) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 y y) x) (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -24 binary64))) #s(literal 1/24 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x))) (exp.f64 (neg.f64 y)))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
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(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) y) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) y)) (pow.f64 (exp.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) y) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) x)))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) (+.f64 (neg.f64 (log.f64 y)) (log.f64 x))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y)) |
(* (pow y 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y y)) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) y) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(*.f64 (*.f64 y y) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)) |
(* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) |
(* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) y) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) y) y) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 y y))) (/.f64 x y)) #s(literal -1/2 binary64)) (*.f64 y y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ x y) x)) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x)) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) y) (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) x) x (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y))) y)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(*.f64 (-.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 y y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) y) |
(* -1 (* y (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 x (/.f64 x y)) (neg.f64 y))) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(*.f64 (neg.f64 y) (-.f64 x (/.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 844 |
| 0 | 105 | 844 |
| 1 | 435 | 777 |
| 0 | 3621 | 731 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) |
#s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x)) |
(/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) |
(neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) |
#s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) |
(-.f64 x (*.f64 y x)) |
#s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y)) |
#s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) |
(*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y)) |
(fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)))) x)) |
(neg.f64 (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) |
#s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal -1 binary64)))) |
(-.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)) (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) (*.f64 y #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y)) (pow.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) |
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(fma.f64 y #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal -1 binary64)))) |
(-.f64 (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y)))) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y)) (pow.f64 (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y)) (pow.f64 (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (*.f64 y y))) y)) |
Compiled 19 417 to 1 979 computations (89.8% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 324 | 5 | 329 |
| Fresh | 2 | 5 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 329 | 15 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) x) x) | |
| ✓ | 78.7% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| ✓ | 59.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
| 59.0% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) | |
| 46.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| 46.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| 59.5% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) | |
| ✓ | 54.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 4.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
| 11.8% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) x))) x) | |
| 6.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) | |
| 8.9% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))) x))) x) | |
| 12.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (+ (* 1/2 x) 1/2) (* y y)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x))) x) | |
| ✓ | 75.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 44.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) (neg.f64 x)) x)) |
Compiled 1 920 to 657 computations (65.8% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (+ (* 1/2 x) 1/2) (* y y)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (-.f64 y x)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ x (- y x)) (/.f64 x y)) (neg.f64 x)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) x)) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
3 calls:
| 19.0ms | x |
| 9.0ms | y |
| 8.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 99.5% | 3 | x |
| 84.4% | 3 | y |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (-.f64 x (*.f64 y x))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) #s(approx (* (+ (* 1/2 x) 1/2) (* y y)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 y y))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y x y)) x)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 y y) x))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 #s(approx (+ (* (+ (* (- (* 1/2 y) 1) y) 1) x) (* (* y y) 1/2)) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) x #s(literal -1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) x))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (+ (* (- (* (- (/ 1/2 x) -1/2) y) 1) y) 1) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) (*.f64 x x)))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) x (*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) y)) x (*.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 x x))) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 9.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 1 | y |
| 75.1% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 80.4% | 2 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -45.4b remaining (-285.5%)
Threshold costs -45.4b (-285.5%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(approx (- 1 y) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 1 | x |
Compiled 1 to 2 computations (-100% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.379198587843831e-10 | 3.6110188316902747e-9 |
| 30.0ms | -3.4566006654865686e+27 | -0.009343577805370715 |
| 19.0ms | 257× | 0 | valid |
| 6.0ms | 88× | 0 | invalid |
| 3.0ms | 15× | 1 | valid |
Compiled 473 to 387 computations (18.2% saved)
ival-div: 5.0ms (26.7% of total)ival-log: 5.0ms (26.7% of total)ival-exp: 3.0ms (16% of total)ival-add: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | -1.4393613744602057e+52 | -3.3582081761002802e+47 |
| 25.0ms | 95× | 1 | valid |
| 3.0ms | 42× | 0 | invalid |
| 2.0ms | 33× | 0 | valid |
Compiled 582 to 413 computations (29% saved)
ival-log: 9.0ms (36.4% of total)ival-exp: 6.0ms (24.3% of total)ival-div: 4.0ms (16.2% of total)adjust: 2.0ms (8.1% of total)ival-add: 2.0ms (8.1% of total)ival-mult: 2.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.4393613744602057e+52 | -3.3582081761002802e+47 |
Compiled 342 to 269 computations (21.3% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 169 |
| 1 | 103 | 152 |
| 2 | 185 | 152 |
| 3 | 359 | 152 |
| 4 | 728 | 152 |
| 5 | 2810 | 152 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4352132950612665/1208925819614629174706176 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (<=.f64 x #s(literal -339999999999999982455731269483234422259974144000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -339999999999999982455731269483234422259974144000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4352132950612665/1208925819614629174706176 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (or (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (not (<=.f64 x #s(literal 4352132950612665/1208925819614629174706176 binary64)))) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -339999999999999982455731269483234422259974144000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 #s(approx (- (* (+ (* (- (- 1/6 (/ -1/3 (* x x))) (/ -1/2 x)) (neg y)) (- (/ 1/2 x) -1/2)) y) 1) (*.f64 #s(approx (neg (+ (+ (/ 1/3 (* x x)) (/ 1/2 x)) 1/6)) #s(literal -1/6 binary64)) (*.f64 y y))) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(if (<=.f64 x #s(literal -339999999999999982455731269483234422259974144000 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (-.f64 #s(approx (* (- (/ 1/2 x) -1/2) y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) y #s(literal 1 binary64))) x) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 6034 |
| 1 | 3332 | 5863 |
| 0 | 9255 | 5563 |
| 0 | 781 | 5045 |
| 1 | 2807 | 4529 |
| 0 | 8437 | 4299 |
| 0 | 554 | 3081 |
| 1 | 1948 | 2633 |
| 0 | 8637 | 2507 |
| 0 | 559 | 3258 |
| 1 | 2040 | 2961 |
| 0 | 8703 | 2788 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 169 to 63 computations (62.7% saved)
Compiled 448 to 184 computations (58.9% saved)
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